Pandas Profiling Report

Dataset statistics

Number of variables	12
Number of observations	2969
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	278.5 KiB
Average record size in memory	96.0 B

Variable types

Numeric	12

Alerts

`gross_revenue` is highly correlated with `invoice_no` and 3 other fields	High correlation
`recency_days` is highly correlated with `invoice_no`	High correlation
`invoice_no` is highly correlated with `gross_revenue` and 1 other fields	High correlation
`quantity` is highly correlated with `gross_revenue` and 1 other fields	High correlation
`avg_ticket` is highly correlated with `gross_revenue` and 1 other fields	High correlation
`avg_recency_days` is highly correlated with `frequency`	High correlation
`frequency` is highly correlated with `avg_recency_days`	High correlation
`avg_basket_size` is highly correlated with `gross_revenue` and 2 other fields	High correlation
`avg_unique_basket_size` is highly correlated with `avg_ticket`	High correlation
`qtde_returns` is highly correlated with `avg_basket_size`	High correlation
`avg_ticket` is highly skewed (γ1 = 53.4442279)	Skewed
`qtde_returns` is highly skewed (γ1 = -51.79774426)	Skewed
`avg_basket_size` is highly skewed (γ1 = 44.68328098)	Skewed
`df_index` has unique values	Unique
`customer_id` has unique values	Unique
`recency_days` has 34 (1.1%) zeros	Zeros
`qtde_returns` has 1481 (49.9%) zeros	Zeros

Reproduction

Analysis started	2022-10-20 17:18:11.988118
Analysis finished	2022-10-20 17:18:21.695202
Duration	9.71 seconds
Software version	pandas-profiling v3.3.0
Download configuration	config.json

df_index
Real number (ℝ_≥0)

UNIQUE

Distinct	2969
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	2317.292354

Minimum	0
Maximum	5715
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0
5-th percentile	185.4
Q1	929
median	2120
Q3	3537
95-th percentile	5035.2
Maximum	5715
Range	5715
Interquartile range (IQR)	2608

Descriptive statistics

Standard deviation	1554.944589
Coefficient of variation (CV)	0.6710178739
Kurtosis	-1.010787014
Mean	2317.292354
Median Absolute Deviation (MAD)	1271
Skewness	0.342284058
Sum	6880041
Variance	2417852.674
Monotonicity	Strictly increasing

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	1	< 0.1%
3011	1	< 0.1%
2996	1	< 0.1%
2999	1	< 0.1%
3000	1	< 0.1%
3001	1	< 0.1%
3002	1	< 0.1%
3005	1	< 0.1%
3007	1	< 0.1%
3008	1	< 0.1%
Other values (2959)	2959	99.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
1	1	< 0.1%
2	1	< 0.1%
3	1	< 0.1%
4	1	< 0.1%
5	1	< 0.1%
6	1	< 0.1%
7	1	< 0.1%
8	1	< 0.1%
9	1	< 0.1%

Value	Count	Frequency (%)
5715	1	< 0.1%
5696	1	< 0.1%
5686	1	< 0.1%
5680	1	< 0.1%
5659	1	< 0.1%
5655	1	< 0.1%
5649	1	< 0.1%
5638	1	< 0.1%
5637	1	< 0.1%
5627	1	< 0.1%

customer_id
Real number (ℝ_≥0)

UNIQUE

Distinct	2969
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	15270.77299

Minimum	12347
Maximum	18287
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	12347
5-th percentile	12619.4
Q1	13799
median	15221
Q3	16768
95-th percentile	17964.6
Maximum	18287
Range	5940
Interquartile range (IQR)	2969

Descriptive statistics

Standard deviation	1718.990292
Coefficient of variation (CV)	0.1125673398
Kurtosis	-1.206094692
Mean	15270.77299
Median Absolute Deviation (MAD)	1488
Skewness	0.03160785866
Sum	45338925
Variance	2954927.624
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
17850	1	< 0.1%
17588	1	< 0.1%
14905	1	< 0.1%
16103	1	< 0.1%
14626	1	< 0.1%
14868	1	< 0.1%
18246	1	< 0.1%
17115	1	< 0.1%
16611	1	< 0.1%
15912	1	< 0.1%
Other values (2959)	2959	99.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
12347	1	< 0.1%
12348	1	< 0.1%
12352	1	< 0.1%
12356	1	< 0.1%
12358	1	< 0.1%
12359	1	< 0.1%
12360	1	< 0.1%
12362	1	< 0.1%
12364	1	< 0.1%
12370	1	< 0.1%

Value	Count	Frequency (%)
18287	1	< 0.1%
18283	1	< 0.1%
18282	1	< 0.1%
18277	1	< 0.1%
18276	1	< 0.1%
18274	1	< 0.1%
18273	1	< 0.1%
18272	1	< 0.1%
18270	1	< 0.1%
18269	1	< 0.1%

gross_revenue
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	2954
Distinct (%)	99.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	2749.226056

Minimum	6.2
Maximum	279138.02
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	6.2
5-th percentile	229.77
Q1	570.96
median	1086.92
Q3	2308.06
95-th percentile	7219.68
Maximum	279138.02
Range	279131.82
Interquartile range (IQR)	1737.1

Descriptive statistics

Standard deviation	10580.4905
Coefficient of variation (CV)	3.848534202
Kurtosis	353.9585684
Mean	2749.226056
Median Absolute Deviation (MAD)	672.72
Skewness	16.77787915
Sum	8162452.16
Variance	111946779.3
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
178.96	2	0.1%
533.33	2	0.1%
889.93	2	0.1%
2053.02	2	0.1%
745.06	2	0.1%
379.65	2	0.1%
2092.32	2	0.1%
731.9	2	0.1%
1353.74	2	0.1%
331	2	0.1%
Other values (2944)	2949	99.3%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
6.2	1	< 0.1%
13.3	1	< 0.1%
15	1	< 0.1%
36.56	1	< 0.1%
45	1	< 0.1%
52	1	< 0.1%
52.2	1	< 0.1%
52.2	1	< 0.1%
62.43	1	< 0.1%
68.84	1	< 0.1%

Value	Count	Frequency (%)
279138.02	1	< 0.1%
259657.3	1	< 0.1%
194550.79	1	< 0.1%
168472.5	1	< 0.1%
140438.72	1	< 0.1%
124564.53	1	< 0.1%
117375.63	1	< 0.1%
91062.38	1	< 0.1%
72882.09	1	< 0.1%
66653.56	1	< 0.1%

recency_days
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	272
Distinct (%)	9.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	64.28864938

Minimum	0
Maximum	373
Zeros	34
Zeros (%)	1.1%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0
5-th percentile	2
Q1	11
median	31
Q3	81
95-th percentile	242
Maximum	373
Range	373
Interquartile range (IQR)	70

Descriptive statistics

Standard deviation	77.75617089
Coefficient of variation (CV)	1.209485215
Kurtosis	2.778038567
Mean	64.28864938
Median Absolute Deviation (MAD)	26
Skewness	1.798396863
Sum	190873
Variance	6046.022112
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1	99	3.3%
4	87	2.9%
2	85	2.9%
3	85	2.9%
8	76	2.6%
10	67	2.3%
9	66	2.2%
7	66	2.2%
17	64	2.2%
22	55	1.9%
Other values (262)	2219	74.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	34	1.1%
1	99	3.3%
2	85	2.9%
3	85	2.9%
4	87	2.9%
5	43	1.4%
7	66	2.2%
8	76	2.6%
9	66	2.2%
10	67	2.3%

Value	Count	Frequency (%)
373	2	0.1%
372	4	0.1%
371	1	< 0.1%
368	1	< 0.1%
366	4	0.1%
365	2	0.1%
364	1	< 0.1%
360	1	< 0.1%
359	1	< 0.1%
358	4	0.1%

invoice_no
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	56
Distinct (%)	1.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	5.72280229

Minimum	1
Maximum	206
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	2
median	4
Q3	6
95-th percentile	17
Maximum	206
Range	205
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	8.85665393
Coefficient of variation (CV)	1.547607882
Kurtosis	190.8253633
Mean	5.72280229
Median Absolute Deviation (MAD)	2
Skewness	10.76645634
Sum	16991
Variance	78.44031883
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
2	786	26.5%
3	498	16.8%
4	393	13.2%
5	237	8.0%
1	190	6.4%
6	173	5.8%
7	138	4.6%
8	98	3.3%
9	69	2.3%
10	55	1.9%
Other values (46)	332	11.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	190	6.4%
2	786	26.5%
3	498	16.8%
4	393	13.2%
5	237	8.0%
6	173	5.8%
7	138	4.6%
8	98	3.3%
9	69	2.3%
10	55	1.9%

Value	Count	Frequency (%)
206	1	< 0.1%
199	1	< 0.1%
124	1	< 0.1%
97	1	< 0.1%
91	2	0.1%
86	1	< 0.1%
72	1	< 0.1%
62	2	0.1%
60	1	< 0.1%
57	1	< 0.1%

quantity
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	48
Distinct (%)	1.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	11.62142135

Minimum	1
Maximum	102
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	4
Q1	8
median	11
Q3	14
95-th percentile	22
Maximum	102
Range	101
Interquartile range (IQR)	6

Descriptive statistics

Standard deviation	6.263166122
Coefficient of variation (CV)	0.5389328836
Kurtosis	25.43515698
Mean	11.62142135
Median Absolute Deviation (MAD)	3
Skewness	3.104298882
Sum	34504
Variance	39.22724987
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=48)

Value	Count	Frequency (%)
10	288	9.7%
9	262	8.8%
11	255	8.6%
12	220	7.4%
8	217	7.3%
7	212	7.1%
13	199	6.7%
14	165	5.6%
6	157	5.3%
15	138	4.6%
Other values (38)	856	28.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	19	0.6%
2	32	1.1%
3	60	2.0%
4	82	2.8%
5	105	3.5%
6	157	5.3%
7	212	7.1%
8	217	7.3%
9	262	8.8%
10	288	9.7%

Value	Count	Frequency (%)
102	1	< 0.1%
74	1	< 0.1%
58	2	0.1%
57	1	< 0.1%
56	1	< 0.1%
54	1	< 0.1%
50	2	0.1%
49	3	0.1%
44	4	0.1%
43	1	< 0.1%

avg_ticket
Real number (ℝ_≥0)

HIGH CORRELATION
SKEWED

Distinct	2966
Distinct (%)	99.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	51.90005685

Minimum	2.150588235
Maximum	56157.5
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	2.150588235
5-th percentile	4.916661099
Q1	13.11933333
median	17.97438356
Q3	24.98828571
95-th percentile	90.497
Maximum	56157.5
Range	56155.34941
Interquartile range (IQR)	11.86895238

Descriptive statistics

Standard deviation	1036.934336
Coefficient of variation (CV)	19.9794451
Kurtosis	2890.70744
Mean	51.90005685
Median Absolute Deviation (MAD)	5.994222271
Skewness	53.4442279
Sum	154091.2688
Variance	1075232.818
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
15	2	0.1%
4.162	2	0.1%
14.47833333	2	0.1%
18.15222222	1	< 0.1%
13.92736842	1	< 0.1%
36.24411765	1	< 0.1%
29.78416667	1	< 0.1%
22.8792623	1	< 0.1%
20.51104167	1	< 0.1%
149.025	1	< 0.1%
Other values (2956)	2956	99.6%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
2.150588235	1	< 0.1%
2.4325	1	< 0.1%
2.462371134	1	< 0.1%
2.511241379	1	< 0.1%
2.515333333	1	< 0.1%
2.65	1	< 0.1%
2.656931818	1	< 0.1%
2.707598253	1	< 0.1%
2.760621572	1	< 0.1%
2.770464191	1	< 0.1%

Value	Count	Frequency (%)
56157.5	1	< 0.1%
4453.43	1	< 0.1%
3202.92	1	< 0.1%
1687.2	1	< 0.1%
952.9875	1	< 0.1%
872.13	1	< 0.1%
841.0214493	1	< 0.1%
651.1683333	1	< 0.1%
640	1	< 0.1%
624.4	1	< 0.1%

avg_recency_days
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	1258
Distinct (%)	42.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	67.35143043

Minimum	1
Maximum	366
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	8
Q1	25.92857143
median	48.28571429
Q3	85.33333333
95-th percentile	201
Maximum	366
Range	365
Interquartile range (IQR)	59.4047619

Descriptive statistics

Standard deviation	63.54282948
Coefficient of variation (CV)	0.9434518178
Kurtosis	4.887703174
Mean	67.35143043
Median Absolute Deviation (MAD)	26.28571429
Skewness	2.062908983
Sum	199966.397
Variance	4037.691178
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
14	25	0.8%
4	22	0.7%
70	21	0.7%
7	20	0.7%
35	19	0.6%
49	18	0.6%
21	17	0.6%
46	17	0.6%
11	17	0.6%
1	16	0.5%
Other values (1248)	2777	93.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	16	0.5%
1.5	1	< 0.1%
2	13	0.4%
2.5	1	< 0.1%
2.601398601	1	< 0.1%
3	15	0.5%
3.321428571	1	< 0.1%
3.330357143	1	< 0.1%
3.5	2	0.1%
4	22	0.7%

Value	Count	Frequency (%)
366	1	< 0.1%
365	1	< 0.1%
363	1	< 0.1%
362	1	< 0.1%
357	2	0.1%
356	1	< 0.1%
355	2	0.1%
352	1	< 0.1%
351	2	0.1%
350	3	0.1%

frequency
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	1350
Distinct (%)	45.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.06327172298

Minimum	0.005449591281
Maximum	3
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0.005449591281
5-th percentile	0.009433962264
Q1	0.01777777778
median	0.02941176471
Q3	0.05540166205
95-th percentile	0.2222222222
Maximum	3
Range	2.994550409
Interquartile range (IQR)	0.03762388427

Descriptive statistics

Standard deviation	0.1344819335
Coefficient of variation (CV)	2.125466593
Kurtosis	121.5596918
Mean	0.06327172298
Median Absolute Deviation (MAD)	0.01433823529
Skewness	8.773426515
Sum	187.8537455
Variance	0.01808539044
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.1666666667	21	0.7%
0.3333333333	21	0.7%
0.02777777778	20	0.7%
0.09090909091	19	0.6%
0.0625	17	0.6%
0.1333333333	16	0.5%
0.4	16	0.5%
0.25	15	0.5%
0.02380952381	15	0.5%
0.03571428571	15	0.5%
Other values (1340)	2794	94.1%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.005449591281	1	< 0.1%
0.005464480874	1	< 0.1%
0.005494505495	1	< 0.1%
0.005509641873	1	< 0.1%
0.005586592179	2	0.1%
0.005602240896	1	< 0.1%
0.005617977528	2	0.1%
0.00566572238	1	< 0.1%
0.005681818182	2	0.1%
0.005698005698	3	0.1%

Value	Count	Frequency (%)
3	1	< 0.1%
2	1	< 0.1%
1.571428571	1	< 0.1%
1.5	3	0.1%
1	14	0.5%
0.8333333333	1	< 0.1%
0.75	1	< 0.1%
0.6666666667	12	0.4%
0.6514745308	1	< 0.1%
0.6	1	< 0.1%

qtde_returns
Real number (ℝ)

HIGH CORRELATION
SKEWED
ZEROS

Distinct	214
Distinct (%)	7.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	-62.1569552

Minimum	-80995
Maximum	0
Zeros	1481
Zeros (%)	49.9%
Negative	1488
Negative (%)	50.1%
Memory size	23.3 KiB

Quantile statistics

Minimum	-80995
5-th percentile	-100.6
Q1	-9
median	-1
Q3	0
95-th percentile	0
Maximum	0
Range	80995
Interquartile range (IQR)	9

Descriptive statistics

Standard deviation	1512.496135
Coefficient of variation (CV)	-24.33349783
Kurtosis	2765.52864
Mean	-62.1569552
Median Absolute Deviation (MAD)	1
Skewness	-51.79774426
Sum	-184544
Variance	2287644.557
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	1481	49.9%
-1	164	5.5%
-2	148	5.0%
-3	105	3.5%
-4	89	3.0%
-6	78	2.6%
-5	61	2.1%
-12	51	1.7%
-8	43	1.4%
-7	43	1.4%
Other values (204)	706	23.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
-80995	1	< 0.1%
-9014	1	< 0.1%
-8004	1	< 0.1%
-4427	1	< 0.1%
-3768	1	< 0.1%
-3332	1	< 0.1%
-2878	1	< 0.1%
-2022	1	< 0.1%
-2012	1	< 0.1%
-1776	1	< 0.1%

Value	Count	Frequency (%)
0	1481	49.9%
-1	164	5.5%
-2	148	5.0%
-3	105	3.5%
-4	89	3.0%
-5	61	2.1%
-6	78	2.6%
-7	43	1.4%
-8	43	1.4%
-9	41	1.4%

avg_basket_size
Real number (ℝ_≥0)

HIGH CORRELATION
SKEWED

Distinct	1973
Distinct (%)	66.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	249.349541

Minimum	1
Maximum	40498.5
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	44
Q1	103.25
median	172
Q3	281.5
95-th percentile	599.52
Maximum	40498.5
Range	40497.5
Interquartile range (IQR)	178.25

Descriptive statistics

Standard deviation	791.5024106
Coefficient of variation (CV)	3.174268569
Kurtosis	2256.245507
Mean	249.349541
Median Absolute Deviation (MAD)	82.75
Skewness	44.68328098
Sum	740318.7873
Variance	626476.066
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
100	11	0.4%
114	10	0.3%
73	9	0.3%
86	9	0.3%
82	9	0.3%
136	8	0.3%
60	8	0.3%
75	8	0.3%
88	8	0.3%
71	7	0.2%
Other values (1963)	2882	97.1%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	2	0.1%
2	1	< 0.1%
3.333333333	1	< 0.1%
5.333333333	1	< 0.1%
5.666666667	1	< 0.1%
6.142857143	1	< 0.1%
7.5	1	< 0.1%
9	1	< 0.1%
9.5	1	< 0.1%
11	1	< 0.1%

Value	Count	Frequency (%)
40498.5	1	< 0.1%
6009.333333	1	< 0.1%
4282	1	< 0.1%
3906	1	< 0.1%
3868.65	1	< 0.1%
2880	1	< 0.1%
2801	1	< 0.1%
2733.944444	1	< 0.1%
2518.769231	1	< 0.1%
2160.333333	1	< 0.1%

avg_unique_basket_size
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	1010
Distinct (%)	34.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	22.15507374

Minimum	1
Maximum	299.7058824
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	3.345454545
Q1	10
median	17.2
Q3	27.75
95-th percentile	56.94
Maximum	299.7058824
Range	298.7058824
Interquartile range (IQR)	17.75

Descriptive statistics

Standard deviation	19.51303316
Coefficient of variation (CV)	0.8807478316
Kurtosis	27.69469772
Mean	22.15507374
Median Absolute Deviation (MAD)	8.2
Skewness	3.498252107
Sum	65778.41393
Variance	380.7584629
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
13	53	1.8%
14	40	1.3%
11	38	1.3%
20	33	1.1%
9	33	1.1%
1	32	1.1%
18	31	1.0%
10	30	1.0%
16	29	1.0%
17	28	0.9%
Other values (1000)	2622	88.3%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	32	1.1%
1.2	1	< 0.1%
1.25	1	< 0.1%
1.333333333	2	0.1%
1.5	8	0.3%
1.568181818	1	< 0.1%
1.571428571	1	< 0.1%
1.666666667	4	0.1%
1.833333333	1	< 0.1%
2	24	0.8%

Value	Count	Frequency (%)
299.7058824	1	< 0.1%
259	1	< 0.1%
203.5	1	< 0.1%
148	1	< 0.1%
145	1	< 0.1%
136.125	1	< 0.1%
135.5	1	< 0.1%
127	1	< 0.1%
122	1	< 0.1%
118	1	< 0.1%

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows

	df_index	customer_id	gross_revenue	recency_days	invoice_no	quantity	avg_ticket	avg_recency_days	frequency	qtde_returns	avg_basket_size	avg_unique_basket_size
0	0	17850	5391.21	372.0	34.0	6.0	18.152222	35.500000	0.486111	-40.0	50.970588	8.735294
1	1	13047	3232.59	56.0	9.0	11.0	18.904035	27.250000	0.048780	-35.0	154.444444	19.000000
2	2	12583	6705.38	2.0	15.0	24.0	28.902500	23.187500	0.045699	-50.0	335.200000	15.466667
3	3	13748	948.25	95.0	5.0	8.0	33.866071	92.666667	0.017921	0.0	87.800000	5.600000
4	4	15100	876.00	333.0	3.0	2.0	292.000000	8.600000	0.136364	-22.0	26.666667	1.000000
5	5	15291	4623.30	25.0	14.0	17.0	45.326471	23.200000	0.054441	-29.0	150.142857	7.285714
6	6	14688	5630.87	7.0	21.0	24.0	17.219786	18.300000	0.073569	-399.0	172.428571	15.571429
7	7	17809	5411.91	16.0	12.0	23.0	88.719836	35.700000	0.039106	-41.0	171.416667	5.083333
8	8	15311	60767.90	0.0	91.0	43.0	25.543464	4.144444	0.315508	-474.0	419.714286	26.142857
9	9	16098	2005.63	87.0	7.0	15.0	29.934776	47.666667	0.024390	0.0	87.571429	9.571429

Last rows

	df_index	customer_id	gross_revenue	recency_days	invoice_no	quantity	avg_ticket	avg_recency_days	frequency	qtde_returns	avg_basket_size	avg_unique_basket_size
2959	5627	17727	1060.25	15.0	1.0	11.0	16.064394	6.0	0.285714	-6.0	645.000000	66.0
2960	5637	17232	421.52	2.0	2.0	10.0	11.708889	12.0	0.153846	0.0	101.500000	18.0
2961	5638	17468	137.00	10.0	2.0	2.0	27.400000	4.0	0.400000	0.0	58.000000	2.5
2962	5649	13596	697.04	5.0	2.0	10.0	4.199036	7.0	0.250000	0.0	203.000000	83.0
2963	5655	14893	1237.85	9.0	2.0	14.0	16.956849	2.0	0.666667	0.0	399.500000	36.5
2964	5659	12479	473.20	11.0	1.0	8.0	15.773333	4.0	0.333333	-34.0	382.000000	30.0
2965	5680	14126	706.13	7.0	3.0	6.0	47.075333	3.0	1.000000	-50.0	169.333333	5.0
2966	5686	13521	1092.39	1.0	3.0	9.0	2.511241	4.5	0.300000	0.0	244.333333	145.0
2967	5696	15060	301.84	8.0	4.0	8.0	2.515333	1.0	2.000000	0.0	65.500000	30.0
2968	5715	12558	269.96	7.0	1.0	5.0	24.541818	6.0	0.285714	-196.0	196.000000	11.0

Overview

Variables

Interactions

Correlations

Spearman's ρ

Pearson's r

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows